DP Further Mathematics HL Questionbank
First-order differential equations.
Description
[N/A]Directly related questions
- 18M.2.hl.TZ0.4d: Given that all the isoclines from a slope field of a differential equation are straight lines...
- 18M.2.hl.TZ0.4c: The slope field for the differential equation \(\frac{{{\text{d}}y}}{{{\text{d}}x}} = x + y\)...
- 18M.2.hl.TZ0.4b.i: \(\frac{{{\text{d}}y}}{{{\text{d}}x}} = \) constant.
- 18M.2.hl.TZ0.4a.iii: \(\frac{{{\text{d}}y}}{{{\text{d}}x}} = x - 1\).
- 18M.2.hl.TZ0.4a.ii: \(\frac{{{\text{d}}y}}{{{\text{d}}x}} = x + 1\).
- 18M.2.hl.TZ0.4a.i: \(\frac{{{\text{d}}y}}{{{\text{d}}x}} = 2\).
- 18M.2.hl.TZ0.2b.ii: Show that...
- 18M.2.hl.TZ0.2b.i: Show...
- 18M.2.hl.TZ0.2a: Use Euler’s method with step length 0.1 to find an approximate value of \(y\) when \(x = 0.4\).
- 18M.1.hl.TZ0.11c: Hence show that the solution to the differential...
- 18M.1.hl.TZ0.11b: Show that the differential...
- 18M.1.hl.TZ0.11a: Show that...
- 16M.2.hl.TZ0.4d: (i) Find the general solution of the differential equation...
- 16M.2.hl.TZ0.4c: (i) Write down the particular solution passing through the points \((1,{\text{ }} \pm...
- 16M.2.hl.TZ0.4b: (i) Hence find the particular solution passing through the points...
- 16M.2.hl.TZ0.4a: Find the general solution of the differential equation, expressing your answer in the form...
- 11M.1.hl.TZ0.2b: Find the solution to the differential...
- 10M.1.hl.TZ0.5: Given that \(\frac{{{\rm{d}}x}}{{{\rm{d}}y}} + 2y\tan x = \sin x\) , and \(y = 0\) when...
- 09M.2.hl.TZ0.4B: Solve the differential equation \((u + 3{v^3})\frac{{{\rm{d}}v}}{{{\rm{d}}u}} = 2v\) , giving...
- 13M.1.hl.TZ0.4a: Find the general solution of the differential equation...
- 08M.1.hl.TZ0.5: Solve the following differential...
- 07M.1.hl.TZ0.5: Solve the differential equation \(x\frac{{{\rm{d}}y}}{{{\rm{d}}x}} + 2y = \sqrt {1 + {x^2}}...
- 12M.2.hl.TZ0.3b: Consider the differential equation...
- SPNone.2.hl.TZ0.5a: Use Euler’s method with a step length of \(0.1\) to find an approximate value for \(y\) when...
- SPNone.2.hl.TZ0.5c: (i) Show that \(\sec x + \tan x\) is an integrating factor for solving this differential...
- 14M.1.hl.TZ0.2: Consider the differential equation \(\frac{{{\text{d}}y}}{{{\text{d}}x}} = {y^3} - {x^3}\) for...
- 14M.2.hl.TZ0.5: Consider the differential equation...
- 15M.1.hl.TZ0.8b: Hence solve the differential equation...
